Short effective intervals containing primes

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Short effective intervals containing primes

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作者：Ramaré ; Olivier ; Saouter ; Yannick
关键词：11N05 ; Distribution of primes
刊名：Journal of Number Theory
出版年：2003
出版时间：January, 2003
年：2003
卷：98
期：1
页码：10-33
全文大小：244 K

文摘

We prove that every interval ]x(1−Δ⁻¹),x] contains a prime number with Δ=28314000 and provided x≥10726905041. The proof combines analytical, sieve and algorithmical methods.